Transcript (a)(b) - The Math Place

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Applications and Problem Solving
• Translating Verbal Statements Into
Equations.
•Applications of Linear Equations
Addition a+b:
• the sum of a and b
• a plus b
• a increased by b
• the total of a and b
• b added to a*
• b more than a*
Multiplication (a)(b):
• the product of a and b
• a times b
• a multiplied by b
* reverse order
Subtraction: a – b:
• the difference of a and b
• a minus b
• a decreased by b
• b less than a*
• b subtracted from a*
Division a / b :
• the quotient of a and b
• a divided by b
• b divided into a*
• the ratio of a and b
• a over b
• a per b
The sum of 12 and a number is 49. Find the number.
The difference of a number and 10 is 18. Find the number.
The quotient of a number and -2 is 10. Find the number.
A number subtracted from -30 results in 42. Find the number.
Eight more than twice a number is 20. Find the number.
Ten less than the quotient of a number and -6 is -2.
Find the number.
Three times the difference of a number and 5 is 15.
Find the number
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x+(-5) = -20 ; x = -15
-5x = -20 ; x = 4
-5x = -20 ; x = -15
x + (-5) = -20 ; x = -25
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-4x – 6 = 14 ; x = -16
6 – (-4x) = 14 ; x = 2
-4x – 6 = 14 ; x = -5
6 – (-4x) = 14 ; x = -2
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4 – 7x = 11 ; x = -1
4 – 7x = 11 ; x = 14
7x – 4 = 11 ; x = 1
7x – 4 = 11 ; x = 14
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2(9 + x) = 30; x = 3
2(9) + x = 30; x = 12
2(9) + x = 30; x = -12
2(9 + x) = 30; x = 6
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-5(8) – x = -55; x = -15
-5(8 – x) = -55; x = -3
-5(8) – x = -55; x = -95
-5(x – 8) = -55; x = -19
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x – 16 = x – 3 ; x = 0
x – 16 = -3x; x = 8
x – 16 = x / 3 ; x = 24
x – 16 = -3x; x = 4
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6 – x = 2x + 3; x = 1
x – 6 = 2x + 3; x = -9
x – 6 = 2x + 3; x = 9
6 – x = 2x + 3; x = -1
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Step1: Read the Problem carefully.
Step 2: Assign labels to unknown quantities.
Step 3: Write an equation in words
Step 4: Write a mathematical equation.
Step 5: Solve the equation.
Step 6: Interpret the result and write the final answer in words.
Jackson scored three times as many points in a basket
ball game as Tony did. If p represents the number of
points that Tony scored, write an expression for the
number of points that Jackson scored.
At a concession stand, drinks cost $2 each.
If Frank buys x drinks, write an expression for the total cost.
Carlita spent $88 less on tuition and fees than her friend
Carlo did. If Carlo spent d dollars, write an expression for the
amount that Carlita spent.
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15r
r -15
r + 15
r / 15
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8c
c–8
c+8
c/8
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Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
954 mi, so the drive takes them 2 days. Richard and
Linda travel twice as far the first day as they do the
second. How many miles do they travel each day.
Two hikers on the Appalachian Trail hike from Hawk
Mountain to Gooch Mountain. The next day, they hike
from Gooch Mountain to Woods Hole. The total distance is
19 mi. If the distance between Gooch Mountain and
Woods Hole is 5 mi more than the distance from Hawk
Mountain to Gooch Mountain, find the distance they hiked
each day.
A two-piece set of luggage costs $150. If sold individually,
the larger bag costs $40 more than the smaller bag. What
are the individual costs for each bag?
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3 ft and 9ft
3 ft and 5ft
1 ft and 3 ft
2 ft and 6ft
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Tuition costs $1300 and lab fees cost $45
Tuition costs $650 and lab fees cost $45
Tuition costs $45 and lab fees cost $650
Tuition costs $635 and lab fees cost $60
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$192 per hr
$84 per hr
$24 per hr
$8 per hr
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Beatles 20 , Elvis 9
Beatles 38 , Elvis 29
Beatles 20 , Elvis 11
Beatles 19 , Elvis 10
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